We can solve the equation as follows:
5(2x+2) - 4 = 2x + 6
Distribute the 5:
10x + 10 - 4 = 2x + 6
Simplify:
10x + 6 = 2x + 6
Subtract 2x from both sides:
8x + 6 = 6
Subtract 6 from both sides:
8x = 0
Divide both sides by 8:
x = 0
Therefore, the equation has one solution: x=0.
Solve for x to determine if the equation has one, none, or infinite solutions.
5 ( 2x + 2 ) − 4 = 2x + 6
1. The equation has one solution: x=1.
2. The equation has one solution: x=0.
3. The equation has no solution.
4. The equation has infinite solutions.
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